Two very long, slender rods of the same diameter and
length are given. One rod (Rod 1) is made of aluminum and
has a thermal conductivity k1 = 200 W/m-K, but the thermal
conductivity of Rod 2, k2 is not known. To determine the ther-
mal conductivity of Rod 2, both rods at one end are thermally
attached to a metal surface which is maintained at a constant
temperature Tb. Both rods are losing heat by convection, with
a convection heat transfer coefficient h into the ambient air at
Too. The surface temperature of each rod is measured at various
distances from the hot base surface. The measurements reveal
that the temperature of the aluminum rod (Rod 1) at X1 = 40 cm
from the base is the same as that of the rod of unknown thermal
conductivity (Rod 2) at X2 = 20 cm from the base. Determine
the thermal conductivity k2 of the second rod (W/m-K).
k1 = 200 W/m-K
h, To 8
X2 = 20 cm
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction
of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.